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Finding the Third Proportional to 84,653 and 180,967

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Solution

The third proportional to 84,653 and 180,967 is: 386,862.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,653 : 180,967 = 180,967 : x
  2. Step 2: Convert to fraction form
    84,653/180,967 = 180,967/x
  3. Step 3: Cross multiply
    84,653x = 180,967 × 180,967
  4. Step 4: Simplify right side
    84,653x = 32,749,055,089
  5. Step 5: Solve for x
    x = 32,749,055,089/84,653
  6. Step 6: Final answer
    x = 386,862.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.